∗ Is a carefully structured text, with self–contained chapters.
∗ Gradually introduces mathematical techniques within an applied environment.
∗ Includes many worked examples, applications, problems and summaries in each chapter.
Further Mathematics for the Physical Sciences will be invaluable to all students of physics, chemistry and engineering, needing to develop or refresh their knowledge of basic mathematics. The book′s structure will make it equally valuable for course use, home study or distance learning.
Introducing Complex Numbers.
Polar Representation of Complex Numbers.
Demoivre′s Theorem and Complex Algebra.
Scalar Products of Vectors.
Vector Products of Vectors.
DETERMINANTS AND MATRICES.
DIFFERENTIATION, EXPANSION AND APPROXIMATION.
Expansions and Approximations.
Taylor Expansions and Polynomial Approximations.
Hyperbolic Functions and Differentiation.
INTEGRATION, SUMMATION AND AVERAGING.
Areas, Volumes and Averages.
Special Integration Techniques.
Formulating and Classifying Differential Equations.
Solving First–Order Differential Equations.
Solving Second–Order Differential Equations.
Waves and Partial Differential Equations.
Answers and Comments.